2.599   ODE No. 599

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{\prime }(x)=\frac{F(x^2+y(x{)}^2)-x}{y(x)}$$ ✓ Mathematica : cpu = 0.154008 (sec), leaf count = 95

$$\text{Solve}[{\int }_1^{y(x)}(-\frac{K[2]}{F(x^2+K[2{]}^2)}-{\int }_1^x\frac{2K[1]K[2]F^{\prime }(K[1{]}^2+K[2{]}^2)}{F{(K[1{]}^2+K[2{]}^2)}^2}dK[1])dK[2]+{\int }_1^x(1-\frac{K[1]}{F(K[1{]}^2+y(x{)}^2)})dK[1]=c_1,y(x)]$$ ✓ Maple : cpu = 0.144 (sec), leaf count = 57

$$\{y\left(x\right)=\sqrt{-x^2+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2x+{\int }^{\mathit{\_}\mathit{Z}}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+2\mathit{\_}\mathit{C}\mathit{1})},y\left(x\right)=-\sqrt{-x^2+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2x+{\int }^{\mathit{\_}\mathit{Z}}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+2\mathit{\_}\mathit{C}\mathit{1})}\}$$